{"title":"Sobolev inequality and isoperimetric inequality for submanifolds in a smooth metric measure space","authors":"P. Ho, Juncheol Pyo","doi":"10.1142/s0129167x23500271","DOIUrl":"https://doi.org/10.1142/s0129167x23500271","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44093773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Surjective morphisms from affine space to its Zariski open subsets","authors":"Viktor Balch Barth","doi":"10.1142/S0129167X23500751","DOIUrl":"https://doi.org/10.1142/S0129167X23500751","url":null,"abstract":"We prove constructively the existence of surjective morphisms from affine space onto certain open subvarieties of affine space of the same dimension. For any algebraic set [Formula: see text], we construct an endomorphism of [Formula: see text] with [Formula: see text] as its image. By Noether’s normalization lemma, these results extend to give surjective maps from any [Formula: see text]-dimensional affine variety [Formula: see text] to [Formula: see text].","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44809807","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On A Non-local Contracting Flow For Closed Convex Plane Curves","authors":"Ruixiang Hao, Run Zhang","doi":"10.1142/s0129167x23500180","DOIUrl":"https://doi.org/10.1142/s0129167x23500180","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46569500","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Existence of solution for Lp Minkowski problem of 0 < p < 1 with measures in ℝn","authors":"C. Li, G. Wei","doi":"10.1142/s0129167x2350009x","DOIUrl":"https://doi.org/10.1142/s0129167x2350009x","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42038025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"𝔤𝔩(1|1)-Alexander polynomial for 3-manifolds","authors":"Yuanyuan Bao, N. Ito","doi":"10.1142/s0129167x23500167","DOIUrl":"https://doi.org/10.1142/s0129167x23500167","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44953430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The fundamental group of the complement of the Hesse configuration","authors":"Jyoichi Kaneko","doi":"10.1142/s0129167x23500143","DOIUrl":"https://doi.org/10.1142/s0129167x23500143","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45296412","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A criterion of proper action on some compact extensions of ℝn and applications","authors":"Baklouti Ali, Bejar Souhail, Fendri Ramzi","doi":"10.1142/s0129167x23500106","DOIUrl":"https://doi.org/10.1142/s0129167x23500106","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44841643","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A counterexample to gurjar-zhang's conjectures","authors":"Jun Lu, Xiao Hang Wu","doi":"10.1142/s0129167x2350012x","DOIUrl":"https://doi.org/10.1142/s0129167x2350012x","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44152091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Branching rule and coadjoint orbit for Heisenberg Gelfand pairs","authors":"A. Rahali","doi":"10.1142/s0129167x23500040","DOIUrl":"https://doi.org/10.1142/s0129167x23500040","url":null,"abstract":"","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44562098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Two generalizations of an over-determined system on a surface","authors":"N. Ando","doi":"10.1142/s0129167x23500076","DOIUrl":"https://doi.org/10.1142/s0129167x23500076","url":null,"abstract":"We introduce and study two generalizations of an over-determined system on a surface. The first generalization is an over-determined system of polynomial type, which is in the form of df = ∑n i=0 f θi, where each θi is a 1-form; the second generalization is represented as Fu = (log ρ)u + 2(I/ρ)e , Fv = −2Jρe−F , where I, J are given by ω = −Jdu+ Idv for a 1-form ω and ρ is given by Ω = ρdu∧dv for a nowhere zero 2-form Ω. Studying these systems, we will obtain generalizations and analogues of results we already have on over-determined systems on surfaces. Results on the second generalization yield corollaries for over-determined systems on surfaces in 3-dimensional non-flat space forms.","PeriodicalId":54951,"journal":{"name":"International Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45984312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}